[fields] Move the logic of the fields opening to be in the field instead of in the picker

[flaviendelangle]

Part of #13188

Use the new PickersFieldContext and its new onViewToggle (name under discussion in #14606) to move all the opening logic from the picker hooks (useDesktopPicker, useMobileRangePicker etc...) to the field component.

This comes with several benefits:

• The single input range field will be able to open with an end adornment and the multi input range field when clicking the value
• All the slots related to the field will be resolved by the field and not by the picker which simplifies the logic
• No need for useEnrichedRangePickerFieldProps anymore (might need to keep it for v8 depending on the time we have but the goal is to eventually drop this hook)
• The props received by the fields are no longer tied to MUI APIs, which makes the building of custom hooks a lot simpler.

The main downside I see is that the field include some code that is not needed when used as standalone. But I think the top priority should always be the quality of the pickers over the quality of the field.

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